Min and Ryan started running together along a cross country track. When Ryan completed the track in 45 minutes, Min had run only
49 of the track. Min’s average speed was 110 m/min slower than Ryan’s.
- How long was the cross country track in m?
- Find Min’s average speed in m/min.
(a)
When Ryan completed the track:
Ryan's distance = 9 u
Min's distance = 4 u
Extra distance covered by Ryan
= 9 u - 4 u
= 5 u
5 u = 110 x 45
5 u = 4950
1 u = 4950 ÷ 5 = 990
Distance of the cross country track
= 9 u
= 9 x 990
= 8910 m
(b)
Ryan's speed
= 8910 ÷ 45
= 198 m/min
Min's speed
= 198 - 110
= 88 m/min
Answer(s): (a) 8910 m; (b) 88 m/min